| 1. | But the concept of natural number is already assumed for the iteration.
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| 2. | It has been proven that all natural numbers exist in this sequence.
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| 3. | Again, this operation is associative and generalizes the multiplication of natural numbers.
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| 4. | Other natural numbers are paired with subsets that do not contain them.
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| 5. | Natural numbers can be considered either as finite ordinals or finite cardinals.
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| 6. | An infinite subset of the natural numbers cannot be bounded from above.
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| 7. | If holds for all natural numbers, then there is no proof of.
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| 8. | This is the only magic pair whose elements are both natural numbers.
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| 9. | Using this idea, let us build a special set of natural numbers.
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| 10. | A common example of this is the cross product of positive natural numbers.
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